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Finding the Fourth Proportional to 455,993.76, 629,251.92 and 252,034.24

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Solution

The fourth proportional to 455,993.76, 629,251.92 and 252,034.24 is: 347,796.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,993.76 : 629,251.92 = 252,034.24 : x
  2. Step 2: Convert to fraction form
    455,993.76/629,251.92 = 252,034.24/x
  3. Step 3: Cross multiply
    455,993.76x = 629,251.92 × 252,034.24
  4. Step 4: Simplify right side
    455,993.76x = 158,593,029,425.74
  5. Step 5: Solve for x
    x = 158,593,029,425.74/455,993.76
  6. Step 6: Final answer
    x = 347,796.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.